Everybody has their standard gift pool (3 career, 3 cast, Personality, Combat Save, Local Knowledge, Language) plus Literacy, Anima Banner, one extra Increased [Trait], and 6 free gifts.
Aside from those 6, none of those require body slots.
Eidolon, Perfected Lotus Matrix, and Increased [Trait] never require a slot.
Knack for [Skill], however, ALWAYS does. Alchemicals are not necessarily skilled in every area, but they can install programs to make them hypercompetant.
Favored Use does not (obviously, as it is not a gift) but the Extra Favored Use gift requires a slot.
For a complete list, see this page